Title: | Stable and finite Morse index solutions of a nonlinear Schrödinger system |
Author(s): | Le P. |
Keywords: | Finite Morse index solutions; Liouville type theorems; Monotonicity formula; Schrödinger system; stable solutions |
Abstract: | We prove some Liouville type theorems for stable and finite Morse index solutions of the nonlinear Schrödinger system -Δui+λiui=∑j=1kβij|ui|q-1ui|uj|q+1inRN,i=1,⋯,k,where N≥ 2 , λ1, ⋯ , λk> 0 , q≥ 1 and the matrix (βij)i,j=1k is symmetric and strictly copositive. |
Issue Date: | 2021 |
Publisher: | Birkhauser |
Series/Report no.: | Vol. 28 |
URI: | http://digital.lib.ueh.edu.vn/handle/UEH/61861 |
DOI: | https://doi.org/10.1007/s00030-021-00701-y |
ISSN: | 1021-9722 |
Appears in Collections: | INTERNATIONAL PUBLICATIONS
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